1. SpaceX is a space exploration company that is famous for catching pieces of their rockets as they fall back to the ground to reuse them. In order to catch those pieces, they need to know how far away from the launch site they will land. Let's assume that the vertical height y and horizontal distance from launch x (in miles) of a SpaceX rocket's first stage are related by the following equation: y(x) = -- (x-24.323)4 3500 +100. Plot the trajectory of the rocket y(x) on the interval [0, 50] with appropriate x and y axis labels. Now use the bisection method on the interval [20, 100] with tolerances of 101, 102, 103, 10-6 to determine how many miles away the rocket first stage will land from the launch site. Are all of your answers the same? Why or why not? Which answer would give us the most exact position that the rocket could land in? How exact is your best answer in feet?